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Finding the Fourth Proportional to 528.76, 725.21 and 505.40

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Solution

The fourth proportional to 528.76, 725.21 and 505.40 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.76 : 725.21 = 505.40 : x
  2. Step 2: Convert to fraction form
    528.76/725.21 = 505.40/x
  3. Step 3: Cross multiply
    528.76x = 725.21 × 505.40
  4. Step 4: Simplify right side
    528.76x = 366,521.13
  5. Step 5: Solve for x
    x = 366,521.13/528.76
  6. Step 6: Final answer
    x = 693.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.